Speed Observation for a Class of Port-Hamiltonian Systems
Authors
Abstract
In this study, we attempt to solve the problems of speed observation for a class of mechanical systems under velocity disturbances are solved. Plant systems can be rendered linear in terms of velocity through coordinate transformation. In our problem setting, only the displacements in local coordinates are measurable. A novel speed observer for disturbed systems is constructed using the immersion and invariance (I&I) methodology and an exact differentiator. Because the existence of an offset term in the observed state is unavoidable in our problem setting, a globally convergent reduced order I&I observer allowing offsets is proposed. A high-pass filter is applied to extract the high-frequency component of the estimated state. A simulation example is provided to demonstrate the effectiveness of the proposed method.
Citation
- Journal: 2025 IEEE International Conference on Electrical Energy Conversion Systems and Control(IEECSC)
- Year: 2025
- Volume:
- Issue:
- Pages: 61–67
- Publisher: IEEE
- DOI: 10.1109/ieecsc64206.2025.11099835
BibTeX
@inproceedings{Hao_2025,
title={{Speed Observation for a Class of Port-Hamiltonian Systems}},
DOI={10.1109/ieecsc64206.2025.11099835},
booktitle={{2025 IEEE International Conference on Electrical Energy Conversion Systems and Control(IEECSC)}},
publisher={IEEE},
author={Hao, Sheng and Yamashita, Yuh},
year={2025},
pages={61--67}
}References
- Ortega, R., van der Schaft, A., Maschke, B. & Escobar, G. Interconnection and damping assignment passivity-based control of port-controlled Hamiltonian systems. Automatica 38, 585–596 (2002) – 10.1016/s0005-1098(01)00278-3
- Astolfi, A., Karagiannis, D. & Ortega, R. Nonlinear and Adaptive Control with Applications. Communications and Control Engineering (Springer London, 2008). doi:10.1007/978-1-84800-066-7 – 10.1007/978-1-84800-066-7
- Besançon, G. Nonlinear Observers and Applications. Lecture Notes in Control and Information Sciences (Springer Berlin Heidelberg, 2007). doi:10.1007/978-3-540-73503-8 – 10.1007/978-3-540-73503-8
- Yoo, H. & Gajic, Z. New Designs of Linear Observers and Observer-Based Controllers for Singularly Perturbed Linear Systems. IEEE Trans. Automat. Contr. 63, 3904–3911 (2018) – 10.1109/tac.2018.2814920
- Holloway, J. & Krstic, M. Prescribed-Time Observers for Linear Systems in Observer Canonical Form. IEEE Trans. Automat. Contr. 64, 3905–3912 (2019) – 10.1109/tac.2018.2890751
- Theodosis, D., Boskos, D. & Tsinias, J. Observer Design for Triangular Systems Under Weak Observability Assumptions. IEEE Trans. Automat. Contr. 63, 4156–4171 (2018) – 10.1109/tac.2018.2799904
- Venkatraman, A., Ortega, R., Sarras, I. & van der Schaft, A. Speed Observation and Position Feedback Stabilization of Partially Linearizable Mechanical Systems. IEEE Trans. Automat. Contr. 55, 1059–1074 (2010) – 10.1109/tac.2010.2042010
- Levant, A. Higher-order sliding modes, differentiation and output-feedback control. International Journal of Control 76, 924–941 (2003) – 10.1080/0020717031000099029
- Tezuka, I. & Nakamura, H. Time-varying Obstacle Avoidance by Using Exact Differentiator. IECON 2019 - 45th Annual Conference of the IEEE Industrial Electronics Society 571–576 (2019) doi:10.1109/iecon.2019.8926883 – 10.1109/iecon.2019.8926883